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3343012000 = 25531943987
BaseRepresentation
bin1100011101000010…
…0101000010100000
322121222110121100021
43013100211002200
523321302341000
61311420203224
7145562063446
oct30720450240
98558417307
103343012000
111466052439
12793699514
13413791b13
14239db4b96
1514874c11a
hexc74250a0

3343012000 has 96 divisors (see below), whose sum is σ = 8646281280. Its totient is φ = 1266796800.

The previous prime is 3343011961. The next prime is 3343012063. The reversal of 3343012000 is 2103433.

It is a super-2 number, since 2×33430120002 = 22351458464288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54007 + ... + 97993.

It is an arithmetic number, because the mean of its divisors is an integer number (90065430).

Almost surely, 23343012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323140640).

3343012000 is an abundant number, since it is smaller than the sum of its proper divisors (5303269280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3343012000 is a wasteful number, since it uses less digits than its factorization.

3343012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44031 (or 44013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3343012000 is about 57818.7858744889. The cubic root of 3343012000 is about 1495.2459858543.

Adding to 3343012000 its reverse (2103433), we get a palindrome (3345115433).

The spelling of 3343012000 in words is "three billion, three hundred forty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 43987 76000 87974 175948 219935 351896 439870 703792 835753 879740 1099675 1407584 1671506 1759480 2199350 3343012 3518960 4178765 4398700 5498375 6686024 7037920 8357530 8797400 10996750 13372048 16715060 17594800 20893825 21993500 26744096 33430120 35189600 41787650 43987000 66860240 83575300 87974000 104469125 133720480 167150600 175948000 208938250 334301200 417876500 668602400 835753000 1671506000 3343012000